Convergence to a stationary state of solutions to inverse problems of parabolic type. (English) Zbl 1302.35441
Summary: We illustrate some results of existence and uniqueness of solutions to inverse parabolic problems of partial recostruction of the forcing term. In particular, we look for conditions assuring that the solution and the unknown part of the forcing term converge to a stationary state.
MSC:
| 35R30 | Inverse problems for PDEs |
| 35A01 | Existence problems for PDEs: global existence, local existence, non-existence |
| 35A02 | Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness |
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35K35 | Initial-boundary value problems for higher-order parabolic equations |
| 35K25 | Higher-order parabolic equations |
| 35C20 | Asymptotic expansions of solutions to PDEs |
